Finding the Third Proportional to 82,707 and 100,851
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Solution
The third proportional to 82,707 and 100,851 is: 122,975.37
Step by Step Solution
- Step 1: Write the proportion equation
82,707 : 100,851 = 100,851 : x - Step 2: Convert to fraction form
82,707/100,851 = 100,851/x - Step 3: Cross multiply
82,707x = 100,851 × 100,851 - Step 4: Simplify right side
82,707x = 10,170,924,201 - Step 5: Solve for x
x = 10,170,924,201/82,707 - Step 6: Final answer
x = 122,975.37
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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.